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Finding the Third Proportional to 251,676 and 512,180

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Solution

The third proportional to 251,676 and 512,180 is: 1,042,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,676 : 512,180 = 512,180 : x
  2. Step 2: Convert to fraction form
    251,676/512,180 = 512,180/x
  3. Step 3: Cross multiply
    251,676x = 512,180 × 512,180
  4. Step 4: Simplify right side
    251,676x = 262,328,352,400
  5. Step 5: Solve for x
    x = 262,328,352,400/251,676
  6. Step 6: Final answer
    x = 1,042,325.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.